What is 57/85 Divided By 7/8

Solving $\frac{57}{85}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{85} \div \frac{7}{8} = \frac{57}{85} \times \frac{8}{7}$

• Multiply the Numerators: $57 \times 8 = 456$
• Multiply the Denominators: $85 \times 7 = 595$
• Form the New Fraction: $\frac{57}{85} \times \frac{7}{8} = \frac{456}{595}$

Simplify - Since $\frac{456}{595}$​ is already in its simplest form (there are no common factors between $456$ and $595$ other than $1$), this is the final answer.

Answer $\frac{57}{85}\div\frac{7}{8} = \frac{456}{595}$

The following animation demonstrates the divide-by,